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Finding the Fourth Proportional to 833.21, 1,149.83 and 460.19

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Solution

The fourth proportional to 833.21, 1,149.83 and 460.19 is: 635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.21 : 1,149.83 = 460.19 : x
  2. Step 2: Convert to fraction form
    833.21/1,149.83 = 460.19/x
  3. Step 3: Cross multiply
    833.21x = 1,149.83 × 460.19
  4. Step 4: Simplify right side
    833.21x = 529,142.57
  5. Step 5: Solve for x
    x = 529,142.57/833.21
  6. Step 6: Final answer
    x = 635.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.